Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI

被引：0
|
作者：
Alexandros Markopoulos
Petr Beremlijski
Oldřich Vlach
Marie Sadowská
机构：
[1] Safran Aircraft Engines,Department of Applied Mathematics
[2] VSB-Technical University of Ostrava,IT4Innovations National Supercomputing Center
[3] VSB-Technical University of Ostrava,undefined
来源：
Applications of Mathematics | 2023年 / 68卷
关键词：
shape optimization; nonsmooth optimization; contact problem; Coulomb’s friction; TFETI method; 65K10; 74M10; 65K05;
D O I：
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中图分类号：
学科分类号：
摘要：
The present paper deals with the numerical solution of 3D shape optimization problems in frictional contact mechanics. Mathematical modelling of the Coulomb friction problem leads to an implicit variational inequality which can be written as a fixed point problem. Furthermore, it is known that the discretized problem is uniquely solvable for small coefficients of friction. Since the considered problem is nonsmooth, we exploit the generalized Mordukhovich’s differential calculus to compute the needed subgradient information.
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页码：405 / 424
页数：19
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